Find the measure of ∠C if ∠A = 5 2 x + 30 ∠B = 7 2 x + 40 ∠C = 9 2 x + 10 ∠D = 5 2 x + 20
1 answer:
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Step-by-step explanation:
First factor out the negative sign from the expression and reorder the terms
That's
<u>Using trigonometric </u><u>identities</u>
That's
<h3><u>Rewrite the expression</u>
That's
We have
<h3><u>Rewrite the second fraction</u>
That's
<h3>Since they have the same denominator we can write the fraction as
Using the identity
<h3><u>Rewrite the expression</u>
We have
<h3><u>Using the trigonometric identity</u>
<h3><u>Rewrite the expression</u>
That's
<h3>Which is
<h3><u>Using the trigonometric identity</u>
<h3>Rewrite the expression
That's
<h3><u>Simplify the expression using symmetry of trigonometric functions</u>
That's
<h3><u>Remove the parenthesis </u>
We have the final answer as
<h2>As proven
Hope this helps you